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Finding the Third Proportional to 211,460 and 288,022

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Solution

The third proportional to 211,460 and 288,022 is: 392,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460 : 288,022 = 288,022 : x
  2. Step 2: Convert to fraction form
    211,460/288,022 = 288,022/x
  3. Step 3: Cross multiply
    211,460x = 288,022 × 288,022
  4. Step 4: Simplify right side
    211,460x = 82,956,672,484
  5. Step 5: Solve for x
    x = 82,956,672,484/211,460
  6. Step 6: Final answer
    x = 392,304.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.